224204640 has 96 divisors (see below), whose sum is σ = 770466816. Its totient is φ = 54351360.

The previous prime is 224204639. The next prime is 224204647. The reversal of 224204640 is 46402422.

224204640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 224204640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224204647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15952 + ... + 26511.

It is an arithmetic number, because the mean of its divisors is an integer number (8025696).

Almost surely, 2^224204640 is an apocalyptic number.

224204640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224204640 is an abundant number, since it is smaller than the sum of its proper divisors (546262176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224204640 is a wasteful number, since it uses less digits than its factorization.

224204640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42492 (or 42484 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 224204640 is about 14973.4645289592. The cubic root of 224204640 is about 607.5026808126.

The spelling of 224204640 in words is "two hundred twenty-four million, two hundred four thousand, six hundred forty".